Question

If a 28-gram serving of breakfast cereal contains 4.5 grams of fat, then how many grams of fat are in a box containing 476 grams of the same breakfast cereal?Translate to a proportion: ___grams of fat/____grams of cereal=x/_____grams of cerealA box containing 476 grams of the same breakfast cereal contains _____grams of fat.

Answer 1

Given:

28 grams of breakfast cereal = 4.5 grams of fat

Let's find the number of grams of fat in a box containing 476 grams of the same breakfast cereal.

Here, we have:

28 grams of cereal = 4.5 grams of fat

476 grams of cereal = x grams of fat

Let's solve for x.

Apply the proportional ratio.

We have:

`\frac{4.5\text{ grams of fat}}{28\text{ grams of cereal}}=\frac{x}{476\text{ grams of cereal}}`

Cross multiply:

`\begin{gathered} 28x=4.5*476 \\ \\ 28x=2142 \end{gathered}`

Divide both sides by 28:

`\begin{gathered} (28x)/(28)=(2142)/(28) \\ \\ x=76.5 \end{gathered}`

Therefore, a box containing 476 grams of the same breakfast cereal contains 76.5 grams of fat.

ANSWER:

76.5 grams of fat.